Since this upgrade is done entirely in the dark, the SQLSetup.log is located in your user temp directory. You can use this file to monitor progress.

When this is complete, you may see the following:

One of more affected filed have operations pending.
You should restart your computer to complete this process.

So, give it what it wants and restart.

When you go back into SQL Server Management Studio (make sure to have the latest, or at least a version that works with the version of SQL you installed), you should see the new SQL version once logging into the server.

You can also execute the statement Select @@Version in SSMS to see the version of SQL installed.